000 | 03379nam a22005415i 4500 | ||
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001 | 978-3-319-90647-8 | ||
003 | DE-He213 | ||
005 | 20220801220710.0 | ||
007 | cr nn 008mamaa | ||
008 | 180509s2019 sz | s |||| 0|eng d | ||
020 |
_a9783319906478 _9978-3-319-90647-8 |
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024 | 7 |
_a10.1007/978-3-319-90647-8 _2doi |
|
050 | 4 | _aTA329-348 | |
072 | 7 |
_aTBJ _2bicssc |
|
072 | 7 |
_aTEC009000 _2bisacsh |
|
072 | 7 |
_aTBJ _2thema |
|
082 | 0 | 4 |
_a620.00151 _223 |
100 | 1 |
_aMarin, Marin. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _951828 |
|
245 | 1 | 0 |
_aEssentials of Partial Differential Equations _h[electronic resource] : _bWith Applications / _cby Marin Marin, Andreas Öchsner. |
250 | _a1st ed. 2019. | ||
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2019. |
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300 |
_aXI, 380 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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505 | 0 | _aPART I: Quasilinear equations -- Operators of second order -- The theory of potential -- Elliptic operators -- Operational calculus -- Parabolic equations -- Hyperbolic equations -- Part II: Elements of distributions -- Integral formulas -- Equations of the first order -- Equations of second order -- Harmonic functions -- Weak solutions -- Regularity of the solutions -- Parabolic equations -- Hyperbolic equations. . | |
520 | _aThis book offers engineering students an introduction to the theory of partial differential equations and then guiding them through the modern problems in this subject. Divided into two parts, in the first part readers already well-acquainted with problems from the theory of differential and integral equations gain insights into the classical notions and problems, including differential operators, characteristic surfaces, Levi functions, Green’s function, and Green’s formulas. Readers are also instructed in the extended potential theory in its three forms: the volume potential, the surface single-layer potential and the surface double-layer potential. Furthermore, the book presents the main initial boundary value problems associated with elliptic, parabolic and hyperbolic equations. The second part of the book, which is addressed first and foremost to those who are already acquainted with the notions and the results from the first part, introduces readers to modern aspects of the theory of partial differential equations. | ||
650 | 0 |
_aEngineering mathematics. _93254 |
|
650 | 0 |
_aDifferential equations. _951829 |
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650 | 0 |
_aMechanics, Applied. _93253 |
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650 | 0 |
_aSolids. _93750 |
|
650 | 1 | 4 |
_aEngineering Mathematics. _93254 |
650 | 2 | 4 |
_aDifferential Equations. _951830 |
650 | 2 | 4 |
_aSolid Mechanics. _931612 |
700 | 1 |
_aÖchsner, Andreas. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _951831 |
|
710 | 2 |
_aSpringerLink (Online service) _951832 |
|
773 | 0 | _tSpringer Nature eBook | |
776 | 0 | 8 |
_iPrinted edition: _z9783319906461 |
776 | 0 | 8 |
_iPrinted edition: _z9783319906485 |
776 | 0 | 8 |
_iPrinted edition: _z9783030080648 |
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-90647-8 |
912 | _aZDB-2-ENG | ||
912 | _aZDB-2-SXE | ||
942 | _cEBK | ||
999 |
_c78844 _d78844 |